Cost of Equity Calculator
Calculate the cost of equity using the Capital Asset Pricing Model (CAPM) and Dividend Discount Model (DDM).
Capital Asset Pricing Model (CAPM)
The theoretical rate of return of an investment with zero risk (e.g., U.S. Treasury bill yield).
A measure of a stock’s volatility in relation to the overall market. >1 is more volatile, <1 is less.
The expected return of the market as a whole (e.g., long-term average of the S&P 500).
Dividend Discount Model (DDM)
The current market price of a single share of the company’s stock.
The total dividend expected to be paid out for one share over the next year.
The constant rate at which the company’s dividends are expected to grow indefinitely.
Chart: Cost of Equity Comparison (CAPM vs. DDM)
What is the Cost of Equity?
The cost of equity is the return a company theoretically pays to its equity investors to compensate them for the risk they undertake by investing their capital. It is a crucial metric used in corporate finance for everything from capital budgeting decisions to stock valuation. Essentially, it’s the minimum rate of return a company must earn on a project or investment to satisfy its investors. If a project’s expected return is less than the cost of equity, it may not be a worthwhile venture from a shareholder value perspective. You can explore a WACC Calculator to see how this component fits into a company’s total cost of capital.
Cost of Equity Formulas and Explanation
There are two primary methods to calculate cost of equity, each with its own assumptions and use cases: the Capital Asset Pricing Model (CAPM) and the Dividend Discount Model (DDM).
1. Capital Asset Pricing Model (CAPM)
The CAPM is the most widely used formula because it doesn’t rely on dividends. It links the expected return of a security to its systematic risk (beta). The formula is:
Cost of Equity (Ke) = Risk-Free Rate + Beta * (Expected Market Return – Risk-Free Rate)
The term `(Expected Market Return – Risk-Free Rate)` is known as the **Equity Risk Premium (ERP)**.
2. Dividend Discount Model (DDM)
The DDM (also known as the Gordon Growth Model) is suitable for mature, stable companies that pay regular dividends. It assumes that the value of a stock is the present value of its future dividends. The formula is rearranged to solve for the cost of equity:
Cost of Equity (Ke) = (Next Year’s Annual Dividend Per Share / Current Stock Price) + Dividend Growth Rate
Variables Table
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Risk-Free Rate (Rf) | The return on a zero-risk investment. | Percentage (%) | 1% – 5% (based on government bond yields) |
| Beta (β) | A stock’s sensitivity to market movements. | Unitless Ratio | 0.5 – 2.0 |
| Expected Market Return (Rm) | The average expected return of the stock market. | Percentage (%) | 7% – 12% |
| Current Stock Price (P0) | The market price per share of the stock. | Currency ($) | Varies |
| Dividend Per Share (D1) | The dividend paid per share over the next year. | Currency ($) | Varies |
| Dividend Growth Rate (g) | The rate at which dividends are expected to grow. | Percentage (%) | 0% – 5% |
Practical Examples
Example 1: Calculating Cost of Equity with CAPM
Let’s consider a tech company with the following characteristics:
- Risk-Free Rate: 3.0%
- Beta: 1.4 (more volatile than the market)
- Expected Market Return: 9.0%
Using the CAPM formula:
Cost of Equity = 3.0% + 1.4 * (9.0% - 3.0%) = 3.0% + 1.4 * 6.0% = 3.0% + 8.4% = 11.4%
The company needs to achieve a return of at least 11.4% on its projects to satisfy its equity investors. For more on this, see our guide on Discounted Cash Flow (DCF) Analysis.
Example 2: Calculating Cost of Equity with DDM
Now, let’s look at a stable utility company:
- Current Stock Price: $50
- Next Year’s Dividend: $2.50
- Dividend Growth Rate: 4.0%
Using the DDM formula:
Cost of Equity = ($2.50 / $50) + 4.0% = 5.0% + 4.0% = 9.0%
For this utility company, the cost of equity is 9.0%.
How to Use This Cost of Equity Calculator
Our calculator simplifies the process by allowing you to compute the cost of equity using both the CAPM and DDM methods simultaneously.
- Enter CAPM Inputs: Fill in the Risk-Free Rate, Beta, and Expected Market Return fields. Ensure percentages are entered as numbers (e.g., enter ‘5’ for 5%).
- Enter DDM Inputs: If applicable, provide the Current Stock Price, Next Year’s Annual Dividend, and the perpetual Dividend Growth Rate.
- Calculate: Click the “Calculate” button. The calculator will display the results for both methods.
- Interpret Results: The output will show the cost of equity as a percentage for each model, along with key intermediate values like the market risk premium and dividend yield.
- Analyze Chart: The bar chart provides a quick visual comparison between the two calculated values.
Understanding Beta Calculation is key to getting an accurate CAPM result.
Key Factors That Affect the Cost of Equity
Several factors can influence a company’s cost of equity:
- Interest Rates: A change in the Risk-Free Rate (e.g., government bond yields) directly impacts the baseline return required by investors. If risk-free rates rise, the cost of equity also rises.
- Market Volatility (Beta): A higher beta means the stock is riskier and more volatile than the market, leading investors to demand a higher return, thus increasing the cost of equity.
- Economic Conditions: A strong economy often leads to a higher expected market return, which can increase the cost of equity. Conversely, a recession might lower expectations and the cost of equity.
- Company Performance and Stability: Companies with stable earnings and a strong track record often have lower betas and are perceived as less risky, resulting in a lower cost of equity.
- Dividend Policy: For the DDM model, a higher dividend or a higher growth rate will result in a higher cost of equity, as investors expect these returns to continue.
- Industry Risk: Companies in high-growth, high-risk sectors like biotechnology or technology typically have a higher cost of equity than those in stable sectors like utilities or consumer staples.
Frequently Asked Questions (FAQ)
- 1. Why are there two different formulas?
- The CAPM and DDM models approach valuation from different angles. CAPM focuses on risk relative to the market, making it versatile for any stock. DDM focuses on direct returns to shareholders via dividends, making it best for mature, dividend-paying companies.
- 2. Which cost of equity result should I use?
- If a company pays stable dividends, averaging the two results can provide a good estimate. If it doesn’t pay dividends or they are erratic, the CAPM result is more reliable.
- 3. What is a “good” cost of equity?
- A “good” cost of equity is relative. A lower cost of equity is generally better for a company as it means it can raise capital more cheaply. However, for an investor, a higher cost of equity implies a higher potential return (and higher risk).
- 4. How is cost of equity related to WACC?
- The cost of equity is a primary component of the Weighted Average Cost of Capital (WACC). WACC blends the cost of equity with the cost of debt to find the company’s total cost of capital.
- 5. Where do I find the input values?
- The risk-free rate can be the yield on a 10-year government bond. Beta and stock prices can be found on financial websites like Yahoo Finance or Bloomberg. Market return is often estimated using the historical average of an index like the S&P 500.
- 6. Can the cost of equity be negative?
- Theoretically, yes, if the risk-free rate is higher than the expected market return, but this is highly unusual in practice. A negative cost of equity would imply investors are willing to accept a return less than the risk-free rate, which is illogical.
- 7. What if the dividend growth rate is higher than the cost of equity?
- In the DDM formula, the dividend growth rate (g) must be less than the cost of equity (Ke). If g is greater than or equal to Ke, the model produces a negative or infinite value and is unusable, as it implies unsustainable growth.
- 8. Does this calculator work for private companies?
- It’s more difficult for private companies. You would need to estimate a beta by looking at comparable public companies (a process called “unlevering and relevering beta”) and you can’t use the DDM if there’s no public stock price.